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Finding the Fourth Proportional to 5,065.70, 6,991.54 and 3,743.24

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Solution

The fourth proportional to 5,065.70, 6,991.54 and 3,743.24 is: 5,166.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,065.70 : 6,991.54 = 3,743.24 : x
  2. Step 2: Convert to fraction form
    5,065.70/6,991.54 = 3,743.24/x
  3. Step 3: Cross multiply
    5,065.70x = 6,991.54 × 3,743.24
  4. Step 4: Simplify right side
    5,065.70x = 26,171,012.19
  5. Step 5: Solve for x
    x = 26,171,012.19/5,065.70
  6. Step 6: Final answer
    x = 5,166.32

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.